500 KHz वारंवारतेच्या सिग्नलसाठी अँटेनाची लांबी किती असायला हवी?

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ALP CBT 2 Electronic Mechanic Previous Paper: Held on 21 Jan 2019 Shift 2
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  1. 6 किमी 
  2. 150 मी 
  3. 600 मी 
  4. 1 किमी 

Answer (Detailed Solution Below)

Option 2 : 150 मी 
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संकल्पना:

  • सिग्नल प्रसारित करण्यासाठी, आपल्याला अँटेना किंवा एरियल आवश्यक आहे.
  • या अँटेनाचा आकार सिग्नलच्या तरंगलांबीशी तुलना करता येईल असा असावा (किमान 1/4 परिमाण) जेणेकरून अँटेना सिग्नलच्या वेळेतील फरक योग्यरित्या जाणू शकेल.
  • उदाहरणार्थ, आपल्याकडे वारंवारता (f) 20 kHz ची विद्युत चुंबकीय लहर असल्यास, तरंगलांबी (λ) 15 किमी असेल.

 

गणना:

ते पाहता,

500 kHz वारंवारतेच्या विद्युतचुंबकीय लहरी प्रसारित केल्या जातात, म्हणजे,

f = 500 kHz

म्हणून अँटेनाची किमान लांबी = \(\frac{\lambda }{4} = \frac{c}{{4f}}\;\left( {\because c = f\lambda } \right)\)

येथे c हा प्रकाशाचा वेग आहे, λ तरंगलांबी आहे आणि f ही तरंगाची वारंवारता आहे

∴ अँटेनाची लांबी = \(\frac{{3 \times {{10}^8}}}{{4 \times 5 \times {{10}^5}}} = 150\;m\)

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